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Finding the Fourth Proportional to 412,993.52, 619,416.38 and 262,787.63

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Solution

The fourth proportional to 412,993.52, 619,416.38 and 262,787.63 is: 394,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,993.52 : 619,416.38 = 262,787.63 : x
  2. Step 2: Convert to fraction form
    412,993.52/619,416.38 = 262,787.63/x
  3. Step 3: Cross multiply
    412,993.52x = 619,416.38 × 262,787.63
  4. Step 4: Simplify right side
    412,993.52x = 162,774,960,043.27
  5. Step 5: Solve for x
    x = 162,774,960,043.27/412,993.52
  6. Step 6: Final answer
    x = 394,134.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.